Fractional differentiability for solutions of the inhomogenous $p$-Laplace system

Michał Miśkiewicz

It is shown that if $p\ge 3$ and $u\in W^{1,p}(\Omega ,{\mathbb{R}}^N)$ solves the inhomogenous $p$-Laplace system \[ \operatorname{div} (|\nabla u|^{p-2} \nabla u) = f, \qquad f \in W^{…